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“I used the hexachord, but transposed, that I had used to generate the old String Trio, which is now 50 years old,” he said.

But Babbitt’s music, despite its use of concepts with names like superarray and all-combinatorial hexachord, sparkles with a hip lucidity.

Hexachord, hek′sa-kord, n. a diatonic series of six notes, having a semitone between the third and fourth.

Running longitudinally, there are four channels in it if it is a tetrachord; six, if it is a hexachord; eight, if it is an octachord.

Following out his system, he applied the newly acquired syllables to each of the hexachords—for instance, the lowest hexachord, G A B C D E, which was called hard, became ut re mi fa sol la; the second, which was called natural, C D E F G A, also became ut re mi fa sol la; and the third, which was called soft, F G A B♭ C D, became likewise ut re mi fa sol la.